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Finding the Fourth Proportional to 197,058, 271,941.12 and 107,634

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Solution

The fourth proportional to 197,058, 271,941.12 and 107,634 is: 148,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,058 : 271,941.12 = 107,634 : x
  2. Step 2: Convert to fraction form
    197,058/271,941.12 = 107,634/x
  3. Step 3: Cross multiply
    197,058x = 271,941.12 × 107,634
  4. Step 4: Simplify right side
    197,058x = 29,270,110,510.08
  5. Step 5: Solve for x
    x = 29,270,110,510.08/197,058
  6. Step 6: Final answer
    x = 148,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.